The diameter of a circle is 14 feet.
Find the circumference.
Use 3.14
Round to the nearest hundredth.

Step-by-step explanation:

-27 [tex]\sqrt{72}[/tex]  = -27 [tex]\sqrt{36*2}[/tex]  = -27 (6) [tex]\sqrt{2}[/tex]   =      - 162 [tex]\sqrt{2}[/tex]    =   - 229.1  

Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.

When you hear the word "cyclic," think of the two round wheels on you bicycle. A quadrilateral is a figure with four sides. The result is a cyclic quadrilateral, which is defined as any four-sided shape (quadrilateral) its four vertices (corners) are located on a circle.

A cyclic quadrilateral's opposite angles add up to 180 degrees, making them supplementary to one another.

Given data:

Using the property of cyclic quadrilateral: sum of opposite angle are 180 degrees.

∠T + ∠R = 180

x + 60 + x + 20 = 180

2x + 80 = 180

2x = 180 - 80

2x = 100

x = 50

Thus, the value of x for the given angle of cyclic quadrilateral is found as the x = 50.

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Answer:

The answer is Rises 12F

Step-by-step explanation:

-12 degrees is 12 below zero. To reach zero, you have to go up an equal amount. -12 + 12 = 0

The head of the psychology department has employed a sampling technique called simple random sampling.

This technique involves selecting a sample from the population in such a way that every member of the population has an equal chance of being included in the sample.
In this case, the population of interest is all the psychology major students in the university.

The department head wants to understand their attitudes toward implementing an internship as a requirement for completing their degree.

To obtain a representative sample, she first compiles a list of all psychology majors.

Then, she randomly selects 100 students from this list to participate in her survey.
Simple random sampling is an effective method to ensure that the sample is unbiased and representative of the entire population.

It minimizes selection bias, as each student has an equal chance of being selected.

This allows the department head to generalize her findings and make valid inferences about the attitudes of all psychology students in the university.
To summarize, the department head employed a simple random sampling technique to gather information about students' attitudes towards implementing an internship as a requirement for completing their psychology degree.

This approach helps ensure the sample is representative and unbiased, allowing for accurate and generalizable conclusions.

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Answer:

[tex] \frac{13}{50} = \frac{26}{100} = 26\%[/tex]

The answer to the given question after considering the two options is true under the condition all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.      

Probability is also known as the estimation of possible changes of a particular event taking place. Furthermore, it is  important while dealing with calculations in the branch of science and mathematics. It is useful in eliminating the total changes of systematic errors, which are hampering the research population.

Some examples of probability

The probability on the event of rolling a 4 with a die is 1/6.

The probability of getting a tails while tossing a coin is 1/2.

The probability of getting  one  joker from a deck of cards is 1/51.

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The complete question is

All probabilities can be expressed as decimal values ranging from 0.00 to 1.00. True or False

Yes, it is true that all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.

This is because probabilities represent the likelihood of an event occurring, and the probability of an event can range from impossible (0.00) to certain (1.00). Therefore, probabilities are expressed as decimal values between these two extremes.
Hi! Yes, all probabilities can be expressed as decimal values ranging from 0.00 to 1.00. A probability of 0.00 represents an impossible event, while a probability of 1.00 represents a certain event. Values between these two extremes indicate varying levels of likelihood for the event to occur.

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The graph of an equation can be identified by looking at the characteristics of the equation, such as the order.

Quadratics

The equation given is quadratic because the highest exponent is 2; this means the equation has an order of 2. All equations with an order of 2 are quadratic equations. Quadratic equations form parabolas, which look like a U. Additionally, the leading coefficient is positive. This means that the parabola will open upwards, with the vertex being the minimum of the graph.

Other Characteristics

We can find more information from the equation to help us find the graph. Specifically, we can find the y-intercept. To find the y-intercept, simply plug 0 in for x and solve.

This means that the y-intercept is 45.

Additionally, to find the x-coordinate of the vertex, we can use the equation -b/(2a).

The x-value of the vertex is 4. With all of this information, we can identify what the graph will look like. However, if you need to find the full graph, you can plug x-values into the equation, solve for y, and then plot the coordinate pairs. Below is a picture of the graph.

The equation that matches the given graph can be represented by y = x + 7 , on the basis of coordinates of five different points on cartesian-plane.

What is a cartesian-plane?

A two-dimensional coordinate plane known as the cartesian plane is created when the x- and y-axes connect. The origin is the point at where the x- and y-axes cross perpendicularly. The x-coordinate and y-coordinate are the coordinates for each point on this plane. The ordinate and abcissa are other names for the x- and y-coordinates, respectively.

The points through which the given graph passes are:

(2,9) ; (3,10) ; (4,11) ; (5,12) and (6,13)

In (2,9): x=2 and y=9

y-x=7

In (3,10): x=3 and y=10

y-x=7

In (4,11): x=4 and y=11

y-x=7

In (5,12): x=5 and y=12

y-x=7

In (6,13): x=6 and y=13

y-x=7

∴ we can say that the difference of x and y coordinates in each point is 7

y-x=7

y=7+x

The required equation of the graph: y = x + 7

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Answer:

4/5-1/3=

12/15-5/15=7/5

Step-by-step explanation:

7/5

Hope this helps! =D

The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.

To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:

= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)

= 10 balls.

Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.

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Answer:

Aiden should use the Standard unit of Mass

Kilogram.

Step-by-step explanation:

He can use other unit also like gram, pound, ounce, tone etc

The minimum of the given expression can be found to be 3 x ∛(√2).

Use these inequalities to find the minimum of the given expression:

(a / (b + c)) + (b / (c + a)) + √(2c / (a + b)) ≥ (a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab)))

Now, simplify the expression:

(a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab))) = (√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))

Apply AM-GM inequality to the terms (√(a²/bc)), (√(b²/ac)), and (√(2c²/ab)):

AM = [(√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))] / 3 ≥ GM = ∛[(√(a²/bc)) * (√(b²/ac)) * (√(2c²/ab))]

The geometric mean (GM) is:

GM = ∛[(√(a²/bc)) x (√(b²/ac)) x (√(2c²/ab))]

GM = ∛(√(2a²b²c² / a²b²c²))

GM = ∛(√2)

Thus, the minimum of the given expression is:

= 3 x ∛(√2)

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The equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model (option d).

Regression is a statistical method used to analyze the relationship between a dependent variable and one or more independent variables. The regression model estimates the relationship between the dependent variable and the independent variable(s) and can be used to predict the value of the dependent variable for a given value of the independent variable(s).

The regression model is based on the least squares criterion (option c), which is a method used to find the best-fit line through a set of data points. The best-fit line is the one that minimizes the sum of the squared differences between the observed values of the dependent variable and the predicted values from the regression model.

Correlation analysis (option b) is a method used to measure the strength and direction of the relationship between two variables. Correlation analysis does not provide information about the nature of the relationship or allow for prediction.

The correlation model (option a) is not a commonly used term in statistics. However, it could refer to a model that estimates the correlation between two variables or a model that uses correlation as a predictor variable.

In summary, the equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model, which is based on the least squares criterion.

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The value of x for the given chords is 23.

A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be remembered that a circle's diameter is defined as the lengthiest chord that runs across the centre of the circle. In the illustration below, a circle and its chord are shown. At the circle's centre, chords with identical lengths subtend equal angles.

We know that, the product of the lengths of the segments of one chord, when two chords cross inside a circle, equals the product of the lengths of the segments of the other chord.

Thus,

(18)(10) = (9)(x - 3)

180 = 9x - 27

9x = 207

x = 23

Hence, the value of x for the given chords is 23.

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Answer:your answer is 11

Step-by-step explanation:

Check the picture below.

False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.

A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.

This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.

Think about these matrices as an illustration:

Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.

A = [1 2; 2 1]

and

B = [1 0; 0 1].

The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.

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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.

Explanation:

Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.

Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.

However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.

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The price of each book must be either $38.53 or $10.8 to generate a total sales revenue of $1,24,875.

If the prices of a book is $16 then 10000 copies will be sold.

For every dollar that increase in price, 300 books will not be sold.

So if the price of a book increases $x then the total price of sold books is given by,

y = (16 + x)*(10000-300x)

Now total sales revenue of the books is $124875, that is, y = 124875.

So, (16+x)*(10000-300x) = 124875

160000 + 10000x - 4800x - 300x² = 124875

35125 + 5200x - 300x² = 0

25 (1405 + 208x - 12x²) = 0

12x² - 208x - 1405 = 0

Solving the above quadratic equation we get,

x = 22.53 or x = -5.20 (Rounding to two decimal places)

So the amount will be either (16+22.53) = $38.53 or (16-5.20) = $ 10.8.

Hence the price must be either $38.53 or $10.8.

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The translation of the question is -

"If a publisher prices a book at $16, 10,000 copies will be sold. For every dollar that increases in price, 300 books will not be sold. What must be the price each book must sell for to generate a total sales revenue of $124,875?"

Answer: 5 m

Step-by-step explanation:

A radius is half of the diameter which is the black line. Hope this helps!

Answer:

The radius of the larger grass area is 5m

Step-by-step explanation:

d=2r

r=d/2

r=10/2

r=5m

If the orbital period of Saturn is 29.5 years then the distance of Saturn from the sun is 9.5 AU .

The orbital period of a planet is denoted as P.

A planet's distance from the sun in astronomical units is denoted as a.

The relation between orbital period of a planet and it's distance from the sun is given as,

P = a superscript three halves

or, P = a^3/2

The Saturn's orbital period is P= 29.5 years

Thus from the equation showing the relation between orbital period of a planet and it's distance from the sun in AU (astronomical units ) we get,

29.5 =  a^3/2

or, a^3/2 = 29.5

⇒  [tex]\sqrt{a^3}[/tex] = 29.5

Squaring both sides, we get,

⇒  [tex]a^{3}[/tex] = 870.25

⇒ a =  9.5473  

⇒ a = 9.5 (approximately)

Thus, the distance between Saturn and the sun is 9.5 AU (approximately) when the orbital period of Saturn is 29.5 years.

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its b so please mark me as a brainliest

Answer: Let's use the following variables to represent the unknown quantities in the problem:

x: the number of cupcakes purchased

y: the number of muffins purchased

From the problem statement, we can write two equations:

The total amount spent on cupcakes and muffins is $21.50:

2x + 1.25y = 21.50

The number of muffins purchased is one fewer than the number of cupcakes:

y = x - 1

These two equations form a system of equations that can be solved simultaneously to find the values of x and y.

Substituting equation 2 into equation 1, we get:

2x + 1.25(x - 1) = 21.50

Simplifying and solving for x:

2x + 1.25x - 1.25 = 21.50

3.25x = 22.75

x = 7

Now that we know x, we can use equation 2 to find y:

y = x - 1 = 7 - 1 = 6

Therefore, the customer purchased 7 cupcakes and 6 muffins, spending a total of $21.50.

Step-by-step explanation:

Sally would have invested $1150 initially in the savings account to satisfy the conditions in the question.

A savings account is a type of bank account that helps people save money over time. It offers a safe and secure way to store money while earning interest on the balance. Unlike checking accounts, savings accounts are intended for long-term storage of funds, with a higher interest rate and regular compounding to help the balance grow. Savings accounts offer flexibility in terms of access to funds and usually allow withdrawals at any time with limits on the number of withdrawals without incurring a fee.

To determine how much money Sally initially invested in a savings account that earns 7.2% annual simple interest, we can use the formula for simple interest: I = Prt. Here, I represents the interest earned, P is the initial principal, r is the annual interest rate as a decimal, and t is the time in years.

Given that Sally earned $745.20 in interest over a period of 9 years with an annual interest rate of 7.2%, we can substitute the values into the formula and solve for P:

I = $745.20

r = 7.2% = 0.072 (decimal)

t = 9 years

Now, P = I / (rt)

P = 745.20 / (0.072 * 9)

P = $1150

Therefore, Sally initially invested $1150 in the savings account.

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Answer:

a) model a: 50/hr

model b: 40/hr

b) model a

Step-by-step explanation:

b) since the money raised started at 0, the rate of change can be found by calculating 400/8

Answer:

[tex] \frac{2}{9} \times \frac{3}{8} = \frac{6}{72} = \frac{1}{12} [/tex]

D is the correct answer.

Therefore, 11 3/4 - 8 1/2 = 13/4, or 3 1/4 as a mixed number.

A mixed number is a type of number that represents a whole number and a fraction together. It is written in the form of a whole number followed by a fraction, such as 3 1/2. The whole number represents the number of whole units, while the fraction represents the part of a unit.

For example, the mixed number 3 1/2 can be interpreted as three whole units and one half of a unit. Another example of a mixed number is 2 3/4, which represents two whole units and three-quarters of a unit. Mixed numbers are commonly used in everyday life, such as in cooking and measuring, and in mathematical calculations involving fractions.

To subtract mixed numbers like these, we need to convert them to improper fractions first:

[tex]11 3/4 = (4 * 11 + 3)/4 = 47/4[/tex]

[tex]8 1/2 = (2 * 8 + 1)/2 = 17/2[/tex]

Now, we can subtract the fractions:

[tex]47/4 - 17/2[/tex]

To subtract these fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4 × 2 = 8. We can convert both fractions to have a denominator of 8:

[tex]47/4 = (47/4) * (2/2) = 94/8[/tex]

[tex]17/2 = (17/2) * (4/4) = 68/8[/tex]

Now, we can subtract the numerators:

[tex]94/8 - 68/8 = 26/8[/tex]

Finally, we can simplify the result by dividing both numerator and denominator by their greatest common factor, which is 2:

[tex]26/8 = (2 * 13)/(2 * 4) = 13/4[/tex]

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Answer: 3x=-3

Step-by-step explanation: